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Bed Slope of Channel Formula

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Bed slope of channel used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. Check FAQs

S = \frac{f^{\frac{5}{3}}}{3340 \cdot Q^{\frac{1}{6}}}

S - Bed Slope of Channel?f - Silt Factor?Q - Discharge for Regime Channel?

Bed Slope of Channel Example

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Here is how the Bed Slope of Channel equation looks like with Values.

Here is how the Bed Slope of Channel equation looks like with Units.

Here is how the Bed Slope of Channel equation looks like.

0.0018 = \frac{{4.22}^{\frac{5}{3}}}{3340 \cdot 35^{\frac{1}{6}}}

0.0018 = \frac{{4.22}^{\frac{5}{3}}}{3340 \cdot {35m³/s}^{\frac{1}{6}}}

0.0018 = \frac{{4.22}^{\frac{5}{3}}}{3340 \cdot 35^{\frac{1}{6}}}

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Bed Slope of Channel Solution

Follow our step by step solution on how to calculate Bed Slope of Channel?

FIRST Step Consider the formula

S = \frac{f^{\frac{5}{3}}}{3340 \cdot Q^{\frac{1}{6}}}

Next Step Substitute values of Variables

∴

S = \frac{{4.22}^{\frac{5}{3}}}{3340 \cdot {35m³/s}^{\frac{1}{6}}}

Next Step Prepare to Evaluate

∴

S = \frac{{4.22}^{\frac{5}{3}}}{3340 \cdot 35^{\frac{1}{6}}}

Next Step Evaluate

∴

S = 0.00182430008093383

LAST Step Rounding Answer

∴

S = 0.0018

Bed Slope of Channel Formula Elements

Variables

Bed Slope of Channel

Bed slope of channel used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Bed Slope of Channel

Silt Factor

Silt factor indicates the type of bed material from clay to heavy sand.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Silt Factor

Discharge for Regime Channel

Discharge for Regime Channel is a stream channel if it is transporting water and sediment in equilibrium such that there is neither scour of the channel bed.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge for Regime Channel

Other formulas in Lacey's Theory category

Go Velocity for Regime Channel using Lacey's Theory

V = {(\frac{Q \cdot f^{2}}{140})}^{0.166}

Go Hydraulic Mean Depth for Regime Channel using Lacey's Theory

R = (\frac{5}{2}) \cdot (\frac{{(V)}^{2}}{f})

Go Area of Regime Channel Section

A = (\frac{Q}{V})

Go Wetted Perimeter of Channel

P = 4.75 \cdot \sqrt{Q}

How to Evaluate Bed Slope of Channel?

Bed Slope of Channel evaluator uses Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6)) to evaluate the Bed Slope of Channel, The Bed Slope of Channel formula is defined as calculating the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. Bed Slope of Channel is denoted by S symbol.

How to evaluate Bed Slope of Channel using this online evaluator? To use this online evaluator for Bed Slope of Channel, enter Silt Factor (f) & Discharge for Regime Channel (Q) and hit the calculate button.

FAQs on Bed Slope of Channel

What is the formula to find Bed Slope of Channel?

The formula of Bed Slope of Channel is expressed as Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6)). Here is an example- 0.001824 = (4.22^(5/3))/(3340*35^(1/6)).

How to calculate Bed Slope of Channel?

With Silt Factor (f) & Discharge for Regime Channel (Q) we can find Bed Slope of Channel using the formula - Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6)).

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